6302144140320 has 384 divisors, whose sum is σ = 22958691065856. Its totient is φ = 1423347572736.

The previous prime is 6302144140319. The next prime is 6302144140337. The reversal of 6302144140320 is 230414412036.

It is a super-3 number, since 3×6302144140320³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158138637 + ... + 158178483.

It is an arithmetic number, because the mean of its divisors is an integer number (59788257984).

Almost surely, 2^{6302144140320} is an apocalyptic number.

6302144140320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6302144140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479345532928).

6302144140320 is an abundant number, since it is smaller than the sum of its proper divisors (16656546925536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6302144140320 is a wasteful number, since it uses less digits than its factorization.

6302144140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40432 (or 40424 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 6302144140320 its reverse (230414412036), we get a palindrome (6532558552356).

The spelling of 6302144140320 in words is "six trillion, three hundred two billion, one hundred forty-four million, one hundred forty thousand, three hundred twenty".